On Fitting a Multivariate Two-Part Latent Growth Model

Shu Xu, Shelley A. Blozis, Elizabeth A. Vandewater

Research output: Contribution to journalArticlepeer-review


A 2-part latent growth model can be used to analyze semicontinuous data to simultaneously study change in the probability that an individual engages in a behavior, and if engaged, change in the behavior. This article uses a Monte Carlo (MC) integration algorithm to study the interrelationships between the growth factors of 2 variables measured longitudinally where each variable can follow a 2-part latent growth model. A SAS macro implementing Mplus is developed to estimate the model to take into account the sampling uncertainty of this simulation-based computational approach. A sample of time-use data is used to show how maximum likelihood estimates can be obtained using a rectangular numerical integration method and an MC integration method.

Original languageEnglish (US)
Pages (from-to)131-148
Number of pages18
JournalStructural Equation Modeling
Issue number1
StatePublished - Jan 2014


  • Monte Carlo integration
  • longitudinal semicontinuous variables
  • multivariate two-part latent growth curve model

ASJC Scopus subject areas

  • General Decision Sciences
  • Modeling and Simulation
  • Sociology and Political Science
  • Economics, Econometrics and Finance(all)


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